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ИСТИНА |
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ИСТИНА ЦЭМИ РАН |
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The goal of the forthcoming school is to present recent results in the theory of nonlinear PDEs, their geometry, and applications. The coursers will stress a role of geometrical methods and especially methods of contact geometry to study nonlinear PDEs and methods of their integrability. Various methods of finding and using symmetries and conservation laws will be presented. Especially the following topics will be emphasized: methods of integrability and finding smooth and singular solutions (shock waves). All these methods will be illustrated by applications to fluid mechanics, field and quantum theory, etc.